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212101011201021 = 329197110311219713
BaseRepresentation
bin110000001110011110011101…
…011011011101101111111101
31000210222122210011002211122020
4300032132131123131233331
5210300030332331413041
62031033505344110353
762450535532350465
oct6016363533355775
91023878704084566
10212101011201021
11616445963a7578
121b95671b6053b9
139147068b1a7a7
143a53a5aa88ba5
15197c379d8e866
hexc0e79d6ddbfd

212101011201021 has 32 divisors (see below), whose sum is σ = 294304766722560. Its totient is φ = 135708609921024.

The previous prime is 212101011200989. The next prime is 212101011201133. The reversal of 212101011201021 is 120102110101212.

It is a happy number.

It is not a de Polignac number, because 212101011201021 - 25 = 212101011200989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101011211021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13294461 + ... + 24514173.

It is an arithmetic number, because the mean of its divisors is an integer number (9197023960080).

Almost surely, 2212101011201021 is an apocalyptic number.

It is an amenable number.

212101011201021 is a deficient number, since it is larger than the sum of its proper divisors (82203755521539).

212101011201021 is a wasteful number, since it uses less digits than its factorization.

212101011201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11221045.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212101011201021 its reverse (120102110101212), we get a palindrome (332203121302233).

The spelling of 212101011201021 in words is "two hundred twelve trillion, one hundred one billion, eleven million, two hundred one thousand, twenty-one".

Divisors: 1 3 29 87 197 591 1103 3309 5713 17139 31987 95961 217291 651873 6301439 11219713 18904317 33659139 325371677 976115031 2210283461 6630850383 12375343439 37126030317 64098220369 192294661107 358884959731 1076654879193 2437942657483 7313827972449 70700337067007 212101011201021